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Finding the Fourth Proportional to 18,380.36, 27,558.68 and 7,857.24

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Solution

The fourth proportional to 18,380.36, 27,558.68 and 7,857.24 is: 11,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,380.36 : 27,558.68 = 7,857.24 : x
  2. Step 2: Convert to fraction form
    18,380.36/27,558.68 = 7,857.24/x
  3. Step 3: Cross multiply
    18,380.36x = 27,558.68 × 7,857.24
  4. Step 4: Simplify right side
    18,380.36x = 216,535,162.84
  5. Step 5: Solve for x
    x = 216,535,162.84/18,380.36
  6. Step 6: Final answer
    x = 11,780.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.